A sharp exceptional set estimate for visibility

DOI10.1112/blms.12103zbMath1387.28006arXiv1602.07629OpenAlexW2279972940MaRDI QIDQ4604588

Tuomas Orponen

Publication date: 2 March 2018

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07629

zbMATH Keywords

Hausdorff measureradial projection

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (8)

Hausdorff Dimension Exceptional Set Estimates for Projections, Sections and Intersections ⋮ On the multiparameter Falconer distance problem ⋮ On the dimension of visible parts ⋮ Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem ⋮ On the dimension and smoothness of radial projections ⋮ Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets ⋮ On distance sets, box-counting and Ahlfors-regular sets ⋮ On Hausdorff dimension of radial projections

Cites Work

• Hausdorff dimension, projections, and the Fourier transform
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Visibility for self-similar sets of dimension one in the plane
• Quantitative visibility estimates for unrectifiable sets in the plane
• Hausdorff dimension, intersections of projections and exceptional plane sections
• Hausdorff dimension and the exceptional set of projections
• Hausdorff dimension, orthogonal projections and intersections with planes
• Fourier Analysis and Hausdorff Dimension
• On Hausdorff dimension of projections
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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